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Finding the Fourth Proportional to 642.94, 960.10 and 539.36

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Solution

The fourth proportional to 642.94, 960.10 and 539.36 is: 805.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.94 : 960.10 = 539.36 : x
  2. Step 2: Convert to fraction form
    642.94/960.10 = 539.36/x
  3. Step 3: Cross multiply
    642.94x = 960.10 × 539.36
  4. Step 4: Simplify right side
    642.94x = 517,840.02
  5. Step 5: Solve for x
    x = 517,840.02/642.94
  6. Step 6: Final answer
    x = 805.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.